Finding the Third Proportional to 22,827 and 34,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,827 : 34,312.50 = 34,312.50 : x
2. Step 2: Convert to fraction form
   22,827/34,312.50 = 34,312.50/x
3. Step 3: Cross multiply
   22,827x = 34,312.50 × 34,312.50
4. Step 4: Simplify right side
   22,827x = 1,177,347,656.25
5. Step 5: Solve for x
   x = 1,177,347,656.25/22,827
6. Step 6: Final answer
   x = 51,576.98